A movie theater company wants to see if there is a difference in the average movie ticket sales in San Diego and Portland per week. They sample 20 sales from San Diego and 20 sales from Portland over a week. Test the claim using a 5% level of significance. Assume the variances are unequal and that movie sales are normally distributed. San Diego Portland 221 209 221 214 206 223 213 221 226 218 243 214 182 222 229 220 214 223 233 222 231 233 217 219 219 226 234 226 239 219 235 228 211 211 239 216 221 219 234 209 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1 μ2 a) Find the p-value. Round answer to 4 decimal places. Answer: ? b) Choose the correct decision and summary based on the above p-value. Reject H0. There is no evidence that the average movie ticket sales in San Diego and Portland per week differ. Do not reject H0. There is no evidence that the average movie ticket sales in San Diego and Portland per week differ. Reject H0. There is evidence that the average movie ticket sales in San Diego and Portland per week differ. Do not reject H0. There is evidence that the average movie ticket sales in San Diego and Portland per week differ.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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A movie theater company wants to see if there is a difference in the average movie ticket sales in San Diego and Portland per week. They sample 20 sales from San Diego and 20 sales from Portland over a week. Test the claim using a 5% level of significance. Assume the variances are unequal and that movie sales are normally distributed.

San Diego Portland

221 209

221 214

206 223

213 221

226 218

243 214

182 222

229 220

214 223

233 222

231 233

217 219

219 226

234 226

239 219

235 228

211 211

239 216

221 219

234 209

The Hypotheses for this problem are:

H₀: μ₁ = μ₂

H₁: μ₁ μ₂

a) Find the p-value. Round answer to 4 decimal places.

Answer: ?

b) Choose the correct decision and summary based on the above p-value.

Reject H₀. There is no evidence that the average movie ticket sales in San Diego and Portland per week differ.

Do not reject H₀. There is no evidence that the average movie ticket sales in San Diego and Portland per week differ.

Reject H₀. There is evidence that the average movie ticket sales in San Diego and Portland per week differ.

Do not reject H_0. There is evidence that the average movie ticket sales in San Diego and Portland per week differ.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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